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164122321 = 1114920211
BaseRepresentation
bin10011100100001…
…00111011010001
3102102211021111111
421302010323101
5314003403241
624141413321
74032005506
oct1162047321
9372737444
10164122321
1184708590
1246b6a241
1328004bcc
1417b234ad
15e61dc81
hex9c84ed1

164122321 has 4 divisors (see below), whose sum is σ = 179042544. Its totient is φ = 149202100.

The previous prime is 164122313. The next prime is 164122331. The reversal of 164122321 is 123221461.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 123221461 = 1111201951.

It is a cyclic number.

It is not a de Polignac number, because 164122321 - 23 = 164122313 is a prime.

It is a super-2 number, since 2×1641223212 = 53872272500854082, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164122292 and 164122301.

It is not an unprimeable number, because it can be changed into a prime (164122331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7460095 + ... + 7460116.

It is an arithmetic number, because the mean of its divisors is an integer number (44760636).

Almost surely, 2164122321 is an apocalyptic number.

164122321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164122321 is a deficient number, since it is larger than the sum of its proper divisors (14920223).

164122321 is a wasteful number, since it uses less digits than its factorization.

164122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14920222.

The product of its digits is 576, while the sum is 22.

The square root of 164122321 is about 12811.0234173543. The cubic root of 164122321 is about 547.5064208361.

Adding to 164122321 its reverse (123221461), we get a palindrome (287343782).

The spelling of 164122321 in words is "one hundred sixty-four million, one hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 11 14920211 164122321